Question

Convert the equation of the circle below to standard form:

x2 + 2x + y2 + 6y = 15

A. (x + 2)2 + (y + 6)2 = 36
B. (x + 3)2 + (y + 1)2 = 25
C. (x + 1)2 + (y + 3)2 = 5
D. (x + 1)2 + (y + 3)2 = 25

Answer 1

The answer to your question is the letter D.

Step-by-step explanation:

Equation of the circle

x² + 2x + y² + 6y = 15

-Group like terms

(x² + 2x ) + (y² + 6y ) = 15

-Complete perfect square trinomials

(x² + 2x + 1²) + (y² + 6y + 3²) = 15 + 1² + 3²

-Simplify

(x + 1)² + (y + 3)² = 15 + 9 + 1

-Equation in standard form

(x + 1)² + (y + 3)² = 25